Question

a copper wire when bent in the form of square encloses an area of 484 centimetre square. if the same wire is bent into the form of circle. find the area of the circle.

Answer 1

hiii!!!

here's ur answer...

perimeter of square = circumference of circle

given area of the square is 484cm²

therefore side² = 484cm²

=> side = √484

=> side = 22cm

VERIFICATION:-

area of square = side²

= 22×22

= 484cm²

hence verified

thus the side of the square is 22cm.

now,

perimeter of the square = side×4

= 22×4

= 88cm

therefore, circumference of the circle is also 88cm.

=> 2πr = 88cm

=> 2×22/7×r = 88cm

=> 44/7×r = 88cm

=> r = 88/1×7/44

=> r = 2×7

=> r = 14cm

VERIFICATION:-

circumference of the circle = 2πr

= 2×22/7×14

= 44×2

= 88cm

hence verified

thus the radius of the circle is 14cm.

area of the circle = πr²

= 22/7×14×14

= 22×2×14

= 616cm²

area of circle is more by = 616 - 484

= 132cm²

hope my answer is satisfactory...

★★☺☺☺★★

Answer 2

please refer to the attached ans